JanCivil is our resident music theory expert. She's currently missing in action, we're hoping she'll show up eventually.
I think she'd say something alike: you won't be able to give that chord the appropriate name if you don't know the context. What's before it, what comes after? That for instance can influence whether it's base is F or it's a very elaborate C.
If you don't even know the root, there's no use in naming the rest.